Matching activity complex numbers



Matching activityMatching activity – complex numbersInstructions: Cut out each rectangle.Match the Cartesian, polar and exponential form of each complex number.(The argument of z is given in radians in terms of π or correct to 2 decimal places).Cartesian formPolar formExponential formz=5cos0.46+isin0.46z = 4 + 4iz=22cosπ4+isinπ4z=2cosπ6+isinπ6z=2cos-π6+isin-π6z=5e-π6iz = -1+3iz=22eπ4iz = 3 -iz = 1 + 2iz=2cos-2π3+isin-2π3z=13cos1.18+isin1.18z =-1-3iz=5cos1.11+isin1.11z=5e1.11i=13cos-0.39+isin-0.39 z = 3 +iz=5e0.46iz = 2 + 2iz=5eπ6i z = 2 + i zz=2e2π3iz=42cosπ4+isinπ4z=42eπ4iz=13e1.18iz=2cos2π3+isin2π3z=13e-0.39iz = 5 + 12iz=2e-2π3iz = 12- 5iMatching activity – solutionsCartesian FormPolar FormExponential Formz = 3 +iz=2cosπ6+isinπ6z=5eπ6iz = 3 -iz=2cos-π6+isin-π6z=5e-π6iz = -1+3iz=2cos2π3+isin2π3z=2e2π3iz =-1-3iz=2cos-2π3+isin-2π3z=2e-2π3iz = 1 + 2iz=5cos1.11+isin1.11z=5e1.11iz = 2 + iz=5cos0.46+isin0.46z=5e0.46iz = 2 + 2iz=22cosπ4+isinπ4z=22eπ4iz = 4 + 4iz=42cosπ4+isinπ4z=42eπ4iz = 12- 5iz=13cos-0.39+isin-0.39z=13e-0.39iz = 5 + 12iz=13cos1.18+isin1.18z=13e1.18i ................
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